1288904768000
1,288,904,768,000 is an even composite number composed of five prime numbers multiplied together.
1288904768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1288904768000:
29 × 53 × 29 × 37 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 37 × 137 × 137)See below for interesting mathematical facts about the number 1288904768000 from the Numbermatics database.
Names of 1288904768000
- Cardinal: 1288904768000 can be written as One trillion, two hundred eighty-eight billion, nine hundred four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.288904768 × 1012
Factors of 1288904768000
Divisors of 1288904768000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 37 40 50 58 64 74 80 100 116 125 128 137 145 148 160 185 200 232 250 256 274 290 296 320 370 400 464 500 512 548 580 592 640 685 725 740 800 925 928 1000 1073 1096 1160 1184 1280 1370 1450 1480 1600 1850 1856 2000 2146 2192 2320 2368 2560 2740 2900 2960 3200 3425 3625 3700 3712 3973 4000 4292 4384 4625 4640 4736 5069 5365 5480 5800 5920 6400 6850 7250 7400 7424 7946 8000 8584 8768 9250 9280 9472 10138 10730 10960 11600 11840 12800 13700 14500 14800 14848 15892 16000 17125 17168 17536 18500 18560 18769 18944 19865 20276 21460 21920 23200 23680 25345 26825 27400 29000 29600 31784 32000 34250 34336 35072 37000 37120 37538 39730 40552 42920 43840 46400 47360 50690 53650 54800 58000 59200 63568 64000 68500 68672 70144 74000 74240 75076 79460 81104 85840 87680 92800 93845 94720 99325 101380 107300 109600 116000 118400 126725 127136 134125 137000 137344 147001 148000 150152 158920 162208 171680 175360 185600 187690 198650 202760 214600 219200 232000 236800 253450 254272 268250 274000 274688 294002 296000 300304 317840 324416 343360 350720 371200 375380 397300 405520 429200 438400 464000 469225 473600 496625 506900 508544 536500 544301 548000 549376 588004 592000 600608 633625 635680 648832 686720 694453 735005 750760 794600 811040 858400 876800 928000 938450 993250 1013800 1017088 1073000 1088602 1096000 1176008 1184000 1201216 1267250 1271360 1297664 1373440 1388906 1470010 1501520 1589200 1622080 1716800 1753600 1856000 1876900 1986500 2027600 2034176 2146000 2177204 2192000 2346125 2352016 2368000 2402432 2534500 2542720 2595328 2721505 2746880 2777812 2940020 3003040 3178400 3244160 3433600 3472265 3675025 3753800 3973000 4055200 4292000 4354408 4384000 4692250 4704032 4804864 5069000 5085440 5443010 5555624 5880040 6006080 6356800 6488320 6867200 6944530 7350050 7507600 7946000 8110400 8584000 8708816 8768000 9384500 9408064 9609728 10138000 10170880 10886020 11111248 11760080 12012160 12713600 12976640 13607525 13734400 13889060 14700100 15015200 15892000 16220800 17168000 17361325 17417632 18375125 18769000 18816128 20139137 20276000 21772040 22222496 23520160 24024320 25427200 27215050 27778120 29400200 30030400 31784000 32441600 34336000 34722650 34835264 36750250 37538000 37632256 40278274 40552000 43544080 44444992 47040320 48048640 50854400 54430100 55556240 58800400 60060800 63568000 64883200 68037625 68672000 69445300 69670528 73500500 75076000 75264512 80556548 81104000 86806625 87088160 88889984 94080640 100695685 108860200 111112480 117600800 120121600 127136000 136075250 138890600 139341056 147001000 150152000 161113096 162208000 173613250 174176320 177779968 188161280 201391370 217720400 222224960 235201600 240243200 254272000 272150500 277781200 278682112 294002000 300304000 322226192 324416000 347226500 348352640 355559936 376322560 402782740 435440800 444449920 470403200 503478425 544301000 555562400 588004000 600608000 644452384 694453000 696705280 805565480 870881600 888899840 940806400 1006956850 1088602000 1111124800 1176008000 1201216000 1288904768 1388906000 1393410560 1611130960 1741763200 1777799680 1881612800 2013913700 2177204000 2222249600 2352016000 2517392125 2577809536 2777812000 3222261920 3483526400 4027827400 4354408000 4444499200 4704032000 5034784250 5155619072 5555624000 6444523840 6967052800 8055654800 8708816000 8888998400 9408064000 10069568500 10311238144 11111248000 12889047680 16111309600 17417632000 20139137000 22222496000 25778095360 32222619200 34835264000 40278274000 44444992000 51556190720 64445238400 80556548000 128890476800 161113096000 257780953600 322226192000 644452384000 1288904768000
- Sum of all divisors σ(n): 3439756560240
- Sum of proper divisors (its aliquot sum) s(n): 2150851792240
- 1288904768000 is an abundant number, because the sum of its proper divisors (2150851792240) is greater than itself. Its abundance is 861947024240
Bases of 1288904768000
- Binary: 100101100000110001011010111111010000000002
- Hexadecimal: 0x12C18B5FA00
- Base-36: GG44MBY8
Squares and roots of 1288904768000
- 1288904768000 squared (12889047680002) is 1661275500973133824000000
- 1288904768000 cubed (12889047680003) is 2141225914165860825655672832000000000
-
The
square root of 1288904768000 is 1135299.4177748881 -
The
cube root of 1288904768000 is 10882.7906984901
Scales and comparisons
How big is 1288904768000?- 1,288,904,768,000 seconds is equal to 40,983 years, 9 weeks, 4 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 1,288,904,768,000 would take you about one hundred two thousand, four hundred fifty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 1288904768000 cubic inches would be around 906.9 feet tall.
Recreational maths with 1288904768000
- 1288904768000 backwards is 0008674098821
- The number of decimal digits it has is: 13
- The sum of 1288904768000's digits is 53
- More coming soon!
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